Calculate the following derivatives using only the definition of the deriva- tive: (a) f(x) = x², calculate f'(2). [For this, it might be helpful to note that x 24 = (x-2)(x³ + 2x² + 4x + 8).] (b) g(x)=, calculate g'(1). (c) h(x) = 5x + 3, calculate h'(0). -

Q: Determine whether the series converges or diverges.

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Q: Find the derivative of f(x) = 7xª + 5x² + 2.

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Q: Find the derivative of the function f(x) = 2x3 – 3x by using the definition of the derivative.

A: By using the definition of derivative of a function, we differentiate the given polynomial as in…

Q: Calculate the derivative of the function. f'(x) = f(x) = (6.4x8)-2 + (4.3x - 5)-² 2

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